Expert: Sherman D. - 11/13/2006

Question
1. A fair die and coin are tossed once. What is the  
  probability of head on a coin and an even number of die
  showing up?

2. How many arrangements can be made of letters in the  
  word TROTTING ?

3. Two balls are taken out at random from a bag containing
  6 red and 2 blue balls. Find the probability that just   
  one ball is blue.

Answer
1.)
since half of the die numbers are even and half of the coin is heads

(1/2)(1/2) = (1/4)

ANS : 1 out of 4

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2.)
8 letters so 8! = 40320 arrangements

You can only do this because you didn't want the letters grouped in sets of any numbers.

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3.)
Number of balls of that specific color / the total number of balls

(2)/(8) = (1/4)

1 out of 4 of it being blue.